Finite Group Databasebeta

← Group #512129

Character table — Group #512129

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111122222244444444444444444444444444444488888888888888816161616323232323232
order12222222224444444444444444444444444444442222444444444442444888888
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111-1-1-1-1
χ4111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-11111
χ51111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111111-1-111-1-1
χ61111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111
χ71111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111-1-1-1-111
χ81111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11111-1-1
χ91111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-11-1-111-11-11-1
χ101111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-111-1-11-11-11
χ111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-11-1-111-1-11-11
χ121111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-111-1-111-11-1
χ131111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-11-1-11-111-1-11
χ141111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-111-1-1-1-111-11-1-111-1
χ151111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-11-1-11-11-111-1
χ161111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-111-11-11-1-11
χ17222222222200000000000000002222222222-2-2-2-200000000-2-2-2-22-2-20000000000
χ1822222222220000000000000000-2-2-2-2-2-2-2-222-2-2-2-20000000022222-2-20000000000
χ192222222222000000002222222200000000-2-222-2-20000-2-2-2-20000-22-20000000000
χ20222222222200000000-2-2-2-2-2-2-2-200000000-2-222-2-2000022220000-22-20000000000
χ212222222222222222220000000000000000-2-2-2-222-2-2-2-200000000-2-220000000000
χ222222222222-2-2-2-2-2-2-2-20000000000000000-2-2-2-222222200000000-2-220000000000
χ232222-2-2-2-22200000000000000002222-2-2-2-222-2-2-2-200000000-2-222-2220000000000
χ242222-2-2-2-2220000000000000000-2-2-2-2222222-2-2-2-20000000022-2-2-2220000000000
χ252222-2-2-2-222000000002222-2-2-2-200000000-2-222-2-20000-2-22200002-220000000000
χ262222-2-2-2-22200000000-2-2-2-2222200000000-2-222-2-2000022-2-200002-220000000000
χ272222-2-2-2-2222222-2-2-2-20000000000000000-2-2-2-222-2-2220000000022-20000000000
χ282222-2-2-2-222-2-2-2-222220000000000000000-2-2-2-22222-2-20000000022-20000000000
χ292-2-2200002-2000022-2-200002i2i−2i−2i2i2i−2i−2i00002-22-22-2002-2002i−2i2i−2i000000000000000
χ302-2-2200002-2000022-2-20000−2i−2i2i2i−2i−2i2i2i00002-22-22-2002-200−2i2i−2i2i000000000000000
χ312-2-2200002-2000022-2-22i2i−2i−2i000000002i2i−2i−2i-22-222-200-222i−2i00002i−2i0000000000000
χ322-2-2200002-2000022-2-2−2i−2i2i2i00000000−2i−2i2i2i-22-222-200-22−2i2i0000−2i2i0000000000000
χ332-2-2200002-20000-2-22200002i2i−2i−2i−2i−2i2i2i00002-22-22-200-22002i−2i−2i2i000000000000000
χ342-2-2200002-20000-2-2220000−2i−2i2i2i2i2i−2i−2i00002-22-22-200-2200−2i2i2i−2i000000000000000
χ352-2-2200002-20000-2-2222i2i−2i−2i00000000−2i−2i2i2i-22-222-2002-22i−2i0000−2i2i0000000000000
χ362-2-2200002-20000-2-222−2i−2i2i2i000000002i2i−2i−2i-22-222-2002-2−2i2i00002i−2i0000000000000
χ372-2-2200002-222-2-2000000002i2i−2i−2i00002i2i−2i−2i-222-2-222-20000−2i2i00−2i2i0000000000000
χ382-2-2200002-222-2-200000000−2i−2i2i2i0000−2i−2i2i2i-222-2-222-200002i−2i002i−2i0000000000000
χ392-2-2200002-222-2-200002i2i−2i−2i00002i2i−2i−2i00002-2-22-22-2200−2i2i00−2i2i000000000000000
χ402-2-2200002-222-2-20000−2i−2i2i2i0000−2i−2i2i2i00002-2-22-22-22002i−2i002i−2i000000000000000
χ412-2-2200002-2-2-222000000002i2i−2i−2i0000−2i−2i2i2i-222-2-22-220000−2i2i002i−2i0000000000000
χ422-2-2200002-2-2-22200000000−2i−2i2i2i00002i2i−2i−2i-222-2-22-2200002i−2i00−2i2i0000000000000
χ432-2-2200002-2-2-22200002i2i−2i−2i0000−2i−2i2i2i00002-2-22-222-200−2i2i002i−2i000000000000000
χ442-2-2200002-2-2-2220000−2i−2i2i2i00002i2i−2i−2i00002-2-22-222-2002i−2i00−2i2i000000000000000
χ45444444-4-4-4-400000000000000000000000000000000000000000000022-2-2000000
χ46444444-4-4-4-4000000000000000000000000000000000000000000000-2-222000000
χ474444-4-444-4-40000000000000000000000000000000000000000000002-22-2000000
χ484444-4-444-4-4000000000000000000000000000000000000000000000-22-22000000
χ4944-4-4004-4002i−2i2i−2i2i−2i2i−2i2-22-22-22-22i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000
χ5044-4-4004-4002i−2i2i−2i2i−2i2i−2i-22-22-22-22−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000
χ5144-4-4004-400−2i2i−2i2i−2i2i−2i2i2-22-22-22-2−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000
χ5244-4-4004-400−2i2i−2i2i−2i2i−2i2i-22-22-22-222i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000
χ5344-4-400-44002i−2i2i−2i−2i2i−2i2i2-22-2-22-222i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000
χ5444-4-400-44002i−2i2i−2i−2i2i−2i2i-22-222-22-2−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000
χ5544-4-400-4400−2i2i−2i2i2i−2i2i−2i2-22-2-22-22−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000
χ5644-4-400-4400−2i2i−2i2i2i−2i2i−2i-22-222-22-22i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000
χ574-44-44-400002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i-222-2-222-20000000000000000000000000000000
χ584-44-44-400002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2-2-222-2-220000000000000000000000000000000
χ594-44-44-40000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i2-2-222-2-220000000000000000000000000000000
χ604-44-44-40000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i-222-2-222-20000000000000000000000000000000
χ614-44-4-4400002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i-222-22-2-220000000000000000000000000000000
χ624-44-4-4400002i−2i−2i2i−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2-2-22-222-20000000000000000000000000000000
χ634-44-4-440000−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2-2-22-222-20000000000000000000000000000000
χ644-44-4-440000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2i−2i−2i2i-222-22-2-220000000000000000000000000000000
χ658-8-880000-880000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).